Back to Lessons

Chaos Theory

Discover how deterministic systems can lead to unpredictable behavior

Logistic Map

Explore how simple population growth leads to chaos

Key concepts:

Period doubling
Bifurcation diagram
Chaos emergence
Feigenbaum constant

Double Pendulum

Visualize sensitivity to initial conditions

Key concepts:

Phase space
Energy conservation
Chaotic motion
Lyapunov exponents

Lorenz Attractor

The butterfly effect in atmospheric convection

Key concepts:

Strange attractors
Weather patterns
Deterministic chaos
3D visualization

Mandelbrot Set

Explore the most famous fractal in mathematics

Key concepts:

Complex numbers
Self-similarity
Fractal geometry
Iteration & escape